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2 years ago

Compare 2/6 and 5/8 using benchmark number. Which number can you use to compare these fraction

Mathematics

1 answer:

ch4aika [34]2 years ago

4 0

Answer:

5/8 is about 1/2. 2/6 is about 0.

Step-by-step explanation: 2/6 is about 0 because 2 is close to 0. If the numerator is close to 0 and the denominator is not close to 0 then the benchmark is going to be 0. If the numerator is about half of the denominator then the benchmark is going to be 1/2. If the numerator and denominator is close to each other than the benchmark is going to be 1.

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Papessa [141]

5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5
y = 39.6

3 0

2 years ago

Find the approximate side length of a square game board with an<br> area of 184 in2

andrey2020 [161]

The approximate side length of a square game board with an

area of 184 in^2 is 14 inches

<h3>Area of a square</h3>

The formula for calculating the area of a square is expressed as;

A = l^2

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 l^2

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in^2 is 14 inches

Learn more on area of a square here: brainly.com/question/25092270

#SPJ1

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1 year ago

Write the equation of the line in Point-Slope Form

katrin [286]

17.

The point-slope form:

$y-y_1=m(x-x_1)$

We have slope=m=8, and the point (-5, -3). Substitute:

$y-(-3)=8(x-(-5))\\\\\boxed{y+3=8(x+5)}$

18.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (3, 4) and (15, 10). Substitute:

$m=\dfrac{10-4}{15-3}=\dfrac{6}{12}=\dfrac{1}{2}$

The point-slope form:

$\boxed{y-4=\dfrac{1}{2}(x-3)}$

$\boxed{y-10=\dfrac{1}{2}(x-15)}$

4 0

2 years ago

SashulF [63]

Answer:

$n = -5$

Step-by-step explanation:

Given

$Digit = 0.000025$

Required

Rewrite using scientific notation, then find n

$Digit = 0.000025$

Express as fraction

$Digit =\frac{25}{1000000}$

This can be splitted to

$Digit = 25 * 10^{-6}$

The first number must be between 1 and 10; hence, 25 can be expressed as 2..5 * 10

$Digit = 2.5 * 10* 10^{-6}$

Apply law of indices

$Digit = 2.5 * 10^{1-6}$

$Digit = 2.5 * 10^{-5}$

Comparing n, the given options

$n = -5$

7 0

2 years ago

A random sample of n D 225 and xN D 21 was drawn from a normal population with a known

Rainbow [258]

Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.